2016 Fiscal Year Final Research Report
Study of the holographic structure of relativistic nonequilibrium systems via renormalization group methods towards the construction of quantum gravity
| Project/Area Number |
23540304
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| Research Category |
Grant-in-Aid for Scientific Research (C)
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| Allocation Type | Multi-year Fund |
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| Section | 一般 |
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| Research Field |
Particle/Nuclear/Cosmic ray/Astro physics
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| Research Institution | Kyoto University |
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Principal Investigator |
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| Project Period (FY) |
2011-04-28 – 2017-03-31
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| Keywords | 量子重力 / 超弦理論 / 非平衡統計熱力学 / ホログラフィー原理 / 膜の量子論 / マルコフ鎖モンテカルロ / 符号問題 / Lefschetz thimble |
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| Outline of Final Research Achievements |
The thermodynamic and holographic nature of gravity should be a clue to identifying the fundamental dynamical variables of quantum gravity. In order to explain such nature, we regarded the dynamics of gravity as a relativistic nonequilibrium relaxation process, and investigated nonequilibrium statistical thermodynamics from various aspects. In particular, we successfully constructed "thermodynamics of shape" in a generally covariant way and developed quantum field theories on curved spacetimes. Also, as a constructive definition of quantum gravity based on membrane dynamics, we advocated a novel matrix model that generates the random volumes of membranes. Furthermore, we introduced the distance between configurations in Markov chain Monte Carlo simulations, which generate relaxation processes in a computer. This is the first example of the emergence of geometry from nonequilibrium relaxation processes.
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| Free Research Field |
素粒子論
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